Patrick drives from P to Q at an average speed of 40 mph . His drive back from Q to P is at an average speed of 45 mph and takes two minutes less.

How far, in miles, is it from P to Q?

Answer:

A, 14

Step-by-step explanation:

Assuming that she has a total of d dollars, and spends half of it, then we have 1/2d. She then spends another 6 dollars, and therefore we would subtract. She is left with one dollar.

1/2d-6=1

Working backwards, we can solve for d, her total amount of money:

1/2d=7

d=14

I hope this helps! :)

Answer: f(x) = 3x2−12x + 13

When overloading the arithmetic operator function as a member function of a class, the function should be declared const.

This is because a const function is a function that is not allowed to modify the object on which it is called. When you overload an operator, you are creating a new function that takes one or more arguments and returns a result. If the function is declared const, it means that the function will not modify any of the data members of the object on which it is called. This is important because it ensures that the object remains unchanged after the function is called.
For example, consider the following class definition:
class MyClass {
public:
int a;
int b;
MyClass(int a, int b) : a(a), b(b) {}
 MyClass operator+(const MyClass& other) const {
   return MyClass(a + other.a, b + other.b);
 }
};
In this case, the operator+ function is declared const, which means that it will not modify the data members a and b of the object on which it is called. Instead, it will create a new MyClass object with the sum of the data members and return it. This ensures that the original object remains unchanged after the function is called.

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Answer:

It will take them 7.89 days

The machine should be set at approximately 7.006 milliliters of dye per can of paint.

To determine the setting for μ so that only 5% of the cans of paint will be unacceptable, follow these steps:

1. Recognize that the amount of dye discharged follows a normal distribution with mean μ and a standard deviation of 0.6 milliliters.

2. Define unacceptable as discharging more than 8 milliliters of dye per can.

3. Use the z-score formula to find the z-value corresponding to 5% probability in the right tail (unacceptable region) of the distribution. Since we want only 5% of the cans to be unacceptable, we'll look for the z-value that corresponds to the 95th percentile (1 - 0.05 = 0.95).

4. Consult a standard normal table or use an online calculator to find the z-value corresponding to a cumulative probability of 0.95. The z-value is approximately 1.645.

5. Use the z-score formula to solve for μ:
  z = (X - μ) / standard deviation
  1.645 = (8 - μ) / 0.6

6. Solve for μ:
  8 - μ = 1.645 * 0.6
  μ = 8 - (1.645 * 0.6)
  μ ≈ 7.006

Your answer: The machine should be set at approximately 7.006 milliliters of dye per can of paint to ensure that only 5% of the cans will be unacceptable.

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Answer:

2 cos (x + pi/2)

Step-by-step explanation:

Of the choices given, this looks like a cos curve that is shifted to the Left by pi / 2  and   multiplied to give an amplitude of 2

Answer:

Equations II and IV

Step-by-step explanation:

See attached image.

Find the equation of the line in the form of y=mx+b, where m is the slope and b the y-intercept.  Pick any two points to calculate the Rise/Run, or slope, of the line, as shown.  The y-intercept, b, is the value of y when x=0.  Rearrange the resulting equation, as necessary, to see if it matches any of the options.  In option IV, I rearranged the answer, as it was easier to get it into the desired form of y=mx+b.

As shown, equations II and IV both match.

Answer:

the last picture answer is

[alternate exterior angle ]

the third picture answer is

[alternate interior angle]

Answer: 2.47

Step-by-step explanation:

6 times 3.99 is 23.94

31.24 minus 23.94 is 7.30

2.47 times 3 is 7.30

The contribution of Arts and Crafts in our Culture is explained below .

The Art and Crafts represents a collective memory of society.

Through expressive outlets of Arts and craft such as paintings, sculptures, music, literature and other art forms, presents a better  historical fact-based records.

The Art expresses how it can be felt to exist in a particular time.

The Art is also communicative in nature because it helps people of  various cultures to understand and communicate with each other through songs, pictures and stories.

Folk Arts and Crafts are highly unique for specific cultures and Society and tell us about the history and rich traditions of a region.

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Answer:

Step-by-step explanation:

Given: Polynomial y = 5x²+3x⁶-10x-8

here, 5 is the coefficient of x², 3 is the coefficient of x⁶, -10 is the coefficient of x and -8 is the constant term.

option (D)

Answer:

down there.

Step-by-step explanation:

Look for a term that has no variables with it. Once you've found it you've found ur constant. The only such term is -8 so the constant is -8 or choice d.

hence choice d

Answer:

9x7ym+b=83

Step-by-step explanation:

Answer:

Let A be the set of all rational numbers p such that p2<2, and let B be the set of all rational numbers p such that p2>2. It can be shown that A has no largest element and that B has no smallest element by associating to each p>0 the number

q=p−p2−2p+2

and then proving that p∈A⇒q∈A and p∈B⇒q∈B.

Step-by-step explanation:

We want to find a rational number q such that

2–√<q<p.

One idea is try to lower p, like

q=k−1kp<p

with a suitable rational k. If you write the condition 2–√<q, you get

2–√<k−1kp

and obtain

k≥pp−2–√.

Any positive rational number k above that bound gives you a good q. In order to get a rational number, you try to get rid of the 2–√ by rationalization

pp−2–√=p(p+2–√)p2−2

and 2>2–√, so

k=p(p+2)p2−2>p(p+2–√)p2−2.

Substituting it in q, you obtain

q=k−1kp=p−pk=p−p2−2p+2.

Answer: Switch x and y

A function assigns the value of each element of one set to the other specific element of another set. The correct option is C.

A function assigns the value of each element of one set to the other specific element of another set.

To find the inverse of f(x) = 3x - 10, Jenna begins by replacing f(x) with y. The next step is to Switch x and y. And further, solve the equation for x.

Hence, the correct option is C.

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Answer:

\( log_{s}6 - log_{s}2 \\ = log_{s}( \frac{6}{2} ) \\ = log_{s}3\)

The number of possible ways such that Biggie and Tupac do not sit next to each other is, 14! - 2 = 87,178,291,200 sections.

There are 14 people having lunch at a round table including Instructor Tiny and 14 TAs. As given, two sections are the same when everybody has the same left neighbor and the same right neighbor. Therefore, the number of sections will be 14. In order to determine the number of possible ways when Biggie and Tupac do not sit next to each other, we have to calculate the total number of ways and then subtract the number of ways when they sit next to each other. There are a total of 14! ways to seat everyone at the table without any restrictions. However, Biggie and Tupac can sit next to each other in two ways (BT and TB), so we have to subtract that from the total number of possible ways. Therefore, the number of possible ways such that Biggie and Tupac do not sit next to each other is:

14! - 2 = 87,178,291,200 sections.

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Answer:

2 : 5

Step-by-step explanation:

divide by five for both

Answer:

2:5

Step-by-step explanation:

they both have 5 in common

hope this helps

Answer:

YZ = 7 , MO = 8

Step-by-step explanation:

A segment joining the midpoints of 2 sides of a triangle is half the length of the third side.

(11)

YZ = \(\frac{1}{2}\) MN , that is

3x + 1 = \(\frac{1}{2}\) (10x - 6) = 5x - 3 ( subtract 5x from both sides )

- 2x + 1 = - 3 ( subtract 1 from both sides )

- 2x = - 4 ( divide both sides by - 2 )

x = 2

Then

YZ = 3x + 1 = 3(2) + 1 = 6 + 1 = 7

(12)

XY = \(\frac{1}{2}\) MO , that is

x - 1 = \(\frac{1}{2}\) (3x - 7) ← multiply through by 2 to clear the fraction

2x - 2 = 3x - 7 ( subtract 3x from both sides )

- x - 2 = - 7 ( add 2 to both sides )

- x = - 5 ( multiply both sides by - 1 )

x = 5

Then

MO = 3x - 7 = 3(5) - 7 = 15 - 7 = 8

Answer:

3 , 2.96 , 1/5 (0.2)  
3.48 , 3 , 1/4 (0.25)

Step-by-step explanation:

descending order

Answer:

y = 55

Step-by-step explanation:

(4x - 12) and (2x + 8) are alternate angles and are congruent , so

4x - 12 = 2x + 8 ( subtract 2x from both sides )

2x - 12 = 8 ( add 12 to both sides )

2x = 20 ( divide both sides by 2 )

x = 10

then

4x - 12 = 4(10) - 12 = 40 - 12 = 28

(3y - 13) and (4x - 12) are same- side interior angles and sum to 180° , so

3y - 13 + 28 = 180

3y + 15 = 180 ( subtract 15 from both sides )

3y = 165 ( divide both sides by 3 )

y = 55

Answer:

52.5 percent of 80 is 42.

Answer:

To find,

And to express the answer in decimal rounded to the nearest tenth.

On simplifying the given fraction we get,

To round the decimal to the nearest tenth.

we get,

Since hunderdth place is 6 which is greater than 5 add 1 to the tenth place and make hundreadth place as 0, we get 3.3 as rounded value (nearest tenth)

Answer is: 3.3

Given that,

An estimate of the height, H metres, of a tall building can be found  using the formula :

H = 3f + 15

where the building is f floors high.

f = 85

The real height of the building is 260 m.

To find,

The percentage error.

Solution,

We have,

H = 3f + 15

Put f = 85 in the above formula

H = 3(85) + 15

H = 270 m

Error,

\(E=\dfrac{270-260}{260}\times 100\\\\=3.84\%\)

So, the required error is 3.84%.

Answer:

Step-by-step explanation:

To write the equation in slope-intercept form, we need to solve for y:

3y + 3x = 12

Subtract 3x from both sides:

3y = -3x + 12

Divide both sides by 3:

y = -x + 4

Now we have the equation in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope is -1 and the y-intercept is 4.

Answer:

-13

Step-by-step explanation:

[–(3 + 2) + (–4)] – {–1 + [–(–4) + 1]}

[–(5) + (–4)] – {–1 + [–(–4) + 1]}

[–5 + (–4)] – {–1 + [–(–4) + 1]}

[–9] – {–1 + [–(–4) + 1]}

[–9] – {–1 + [4 + 1]}

[–9] – {–1 + 5}

[–9] – {4}

-13

Answer:

A the first one

Step-by-step explanation:

hope this helps

Answer:

74.22

Step-by-step explanation:

a pencil cup is like a cylinder

A=2πrh+2πr2=2·π·1.75·5+2·π·1.752≈74.22013

hope this helps

correct me if this is wrong

Answer:

9

Step-by-step explanation:

i can not really tell what letters are on the picture but i think it is 9